In class we watched "The Proof," a documentary about Andrew Wiles and Fermat's Last Theorem. If you'd like to review any of the video, it is on youtube:
This linkwill take you to part 1 of 5. From there you should see links to the other parts on the right.
Fermat's Last Theorem is probably referenced in a lot of popular culture, for example in Stieg Larsson's third book of the "Millenium" series, Luftslottet som sprängdes (The Girl Who Kicked the Hornets' Nest in English) where one of the main characters, Lisbeth Salander, is mesmerized by the problem where she ignores Wiles' proof, stubbornly trying to find her own.
Fermat's Last Theorem is one of many problems which have been eluding mathematicians and other interested people for over one hundred years. Another such theorem is the Goldbach Conjecture.
With the Goldbach Conjecture it turns out we speak about a by Euler edited version. This is because when Goldbach wrote his theorem, one was still considered a prime, and because of that his first conjecture said that every positive integer (not necessarily even numbers) larger than two can be written as the sum of three primes. When one was dispatched as a prime, Euler instead said that all positive even integers larger than or equal to four can be expressed as the sum of two primes. As of 2008, the conjecture has been proven for all even integers up to 1.2*10^18.
In 1900, David Hilbert, made a list of 23 unsolved problems in mathematics. All have been proven (or disproven) except one: The Reimann Hypothesis. The Reimann Hypothesis is one of seven Millenium Problems for which there is a one million dollar prize for solving any of the seven problems. One of these (The Poincare Conjecture) was just solved this year (April 2010).
Poincare is a theorem about three-dimensional sphere. Poincare comes from the French man called Henri Poincare. Henri was a French mathematician, whose theory was the following: He stated that a sphere remains a sphere! You can twist it, kick it, inflate or deflate it,or even mold it,.... anything you want! But no matter what you do to it, the deformed form of the sphere remains a sphere! To fully understand the three-dimensional shapes, you must understand the conjecture of poincare. here is Henri poincare: photo
here is a picture of a sphere: Sphere
Things to add to this Wiki:
-Describe the Goldbach Conjecture in your own words
-Find references in pop culture (movies, books, etc) to Goldbach conjecture, Fermat's Last Theorem or other similar problems.
-Find great quotes about mathematics; mathematicians; proofs, etc.
This linkwill take you to part 1 of 5. From there you should see links to the other parts on the right.
Fermat's Last Theorem is probably referenced in a lot of popular culture, for example in Stieg Larsson's third book of the "Millenium" series, Luftslottet som sprängdes (The Girl Who Kicked the Hornets' Nest in English) where one of the main characters, Lisbeth Salander, is mesmerized by the problem where she ignores Wiles' proof, stubbornly trying to find her own.
Fermat's Last Theorem is one of many problems which have been eluding mathematicians and other interested people for over one hundred years. Another such theorem is the Goldbach Conjecture.
With the Goldbach Conjecture it turns out we speak about a by Euler edited version. This is because when Goldbach wrote his theorem, one was still considered a prime, and because of that his first conjecture said that every positive integer (not necessarily even numbers) larger than two can be written as the sum of three primes. When one was dispatched as a prime, Euler instead said that all positive even integers larger than or equal to four can be expressed as the sum of two primes. As of 2008, the conjecture has been proven for all even integers up to 1.2*10^18.
In 1900, David Hilbert, made a list of 23 unsolved problems in mathematics. All have been proven (or disproven) except one: The Reimann Hypothesis. The Reimann Hypothesis is one of seven Millenium Problems for which there is a one million dollar prize for solving any of the seven problems. One of these (The Poincare Conjecture) was just solved this year (April 2010).
Poincare is a theorem about three-dimensional sphere. Poincare comes from the French man called Henri Poincare. Henri was a French mathematician, whose theory was the following: He stated that a sphere remains a sphere! You can twist it, kick it, inflate or deflate it,or even mold it,.... anything you want! But no matter what you do to it, the deformed form of the sphere remains a sphere! To fully understand the three-dimensional shapes, you must understand the conjecture of poincare. here is Henri poincare: photo
here is a picture of a sphere: Sphere
Things to add to this Wiki:
-Describe the Goldbach Conjecture in your own words
-Find references in pop culture (movies, books, etc) to Goldbach conjecture, Fermat's Last Theorem or other similar problems.
-Find great quotes about mathematics; mathematicians; proofs, etc.